RADIALLY SYMMETRIC-SOLUTIONS OF A CLASS OF SINGULAR ELLIPTIC-EQUATIONS

The boundary value problem is studied with a view to obtaining the existence of positive solutions in C1([0, l])∩C2((0,1)). The function f is assumed to be singular in the second variable, with the singularity modeled after the special case f(x,y) = a(x)y−p, p>0. This boundary value problem arises in the search of positive radially symmetric solutions to where Ω is the open unit ball in ℝN, centered at the origin, Γ is its boundary and ǀxǀ is the Euclidean norm of x. © 1990, Edinburgh Mathematical Society. All rights reserved.